Equation 47 · Part 2 · Error Correction Is the Whole Problem in Quantum Computing
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What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
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The passage around this formula
On a different hardware platform, a Harvard, MIT and QuEra collaboration reported a processor based on encoded logical qubits operating with up to 280 physical qubits in reconfigurable neutral atom arrays, demonstrating improvement of a two-qubit logic gate by scaling surface code distance from d=3 to d=7 , operation of 40 colour code qubits, and sampling circuits with up to 48 logical qubits entangled with 228 logical two-qubit gates and 48 logical CCZ gates using three-dimensional [[8,3,2]] code blocks [ 18 ] . The [[8,3,2]] code has distance 2: it detects errors without correcting them. Reporting 48 logical qubits is correct; reading it as 48 fault-tolerant qubits at algorithmic distance…
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.